Answer: There are many kinds of ice plant. Most are from south Africa and grow best in hot, dry locations, and most are frost tender. However, your ice plant may be the more hardy kinds - Delosperma cooperi. If so, it is hardy to zone 6. Try to find out the botanical name of your ice plant. With any luck it is a hardy variety.
Blue star creeper is the common name for two different plants: Laurentia fluvilatilis, which is hardy to zone 5, and Pratia angulata which is hardy only in zones 7-10.
I hope you have the hardy type. If so, it is a perennial. I do a lot of catalog shopping, too, so I'm careful to find out the botanical name of the plant I want to purchase and then do a Google search to make sure it is hardy in my growing region. There are always exceptions to the rule of hardiness, but I always try to give my new plants the best conditions possible and I expect them to respond with healthy growth!
Good luck with your garden!
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